{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 2: Randomness and Statistics\n",
    "### Miscellaneous images\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as patches\n",
    "import math\n",
    "import seaborn as sns ; sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/h5py/__init__.py:34: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n",
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "matplotlib.rcParams['axes.titlesize'] = 14\n",
    "matplotlib.rcParams['axes.labelsize'] = 14\n",
    "matplotlib.rcParams['axes.labelpad'] = 8\n",
    "matplotlib.rcParams['xtick.labelsize'] = 14\n",
    "matplotlib.rcParams['ytick.labelsize'] = 14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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jjz9G+/bt4erqCh8fH+zdu1en3507dzBu3Di0bt0aTZs2xdChQ3Hp0iW92zx27Bh8fX3R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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cf2ea90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show the number of different types of vehicles on the lot\n",
    "fig = plt.figure(figsize=(6,4))\n",
    "car_names = ['Sedan', 'Pickup', 'Minivan', 'SUV', 'Wagon']\n",
    "heights = [113, 245, 327, 83, 181]\n",
    "xp = range(len(car_names))\n",
    "plt.bar(xp, heights, align='center')\n",
    "plt.xticks(xp, car_names)\n",
    "plt.yticks([0, 100, 200, 300],[0, 100, 200, 300])\n",
    "plt.xlabel('Variety of Car')\n",
    "plt.ylabel('Number of cars')\n",
    "plt.title('Available Cars')\n",
    "file_helper.save_figure('car-bars')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Px82bNzFy5EjcuHFDayGJiIhIN0gqTJYtW4bc3Fzs3r0by5YtU37jbpcuXbBz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\n+H9YDnLEdsE+owAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cfbb198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# scale the vehicle probabilities so they add to 1\n",
    "fig = plt.figure(figsize=(6,4))\n",
    "car_names = ['Sedan', 'Pickup', 'Minivan', 'SUV', 'Wagon']\n",
    "heights = [113, 245, 327, 83, 181]\n",
    "heights = heights/np.sum(heights)\n",
    "xp = range(len(car_names))\n",
    "plt.bar(xp, heights, align='center')\n",
    "plt.xticks(xp, car_names)\n",
    "plt.yticks([0, .33, .66, 1],[0, '1/3', '2/3', 1])\n",
    "plt.xlabel('Variety of Car')\n",
    "plt.ylabel('Probability of Choosing This Type')\n",
    "plt.title('Available Cars As Probability Distribution')\n",
    "file_helper.save_figure('car-bars-normalized')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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B0+RGDfTEwdO5APQ3fDIp77qMSsq9vTmhREREZDp1Wh3OpN0EANhYW2H4nZsU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\nIiIiIiI9Y1JORERERKRn/x+jQ0I4OEpUDgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e2ae160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw a nice continuous distribution\n",
    "def continuous_dist(x):\n",
    "    v1 = 0.7 * np.exp(0.6 * -np.power(8*(x-0.25), 2))\n",
    "    v2 = 1.3 * np.exp(1.0 * -np.power(6*(x-0.8), 2))\n",
    "    return v1+v2\n",
    "\n",
    "xs = np.linspace(0, 1, 130)\n",
    "ys = [continuous_dist(x) for x in xs]\n",
    "ys = ys/np.sum(ys)\n",
    "plt.plot(xs, ys, lw=2)\n",
    "plt.xlabel('Amount of oil in the car')\n",
    "plt.ylabel('Probability of selecting a car with this much oil')\n",
    "file_helper.save_figure('continuous-pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kgiwAAACMRJAFAACAkQiyAAAAMBJBFgAAAEZqUZAtLi7W888/r5EjRyohIUHjx4/X2rVr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e2a9860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Draw the graph for a uniform distribution [0,1]\n",
    "plt_blue = '#4d74ae'  # matplotlib default blue\n",
    "\n",
    "plt.plot([-1.5, -0.05],[0,0], c=plt_blue)\n",
    "plt.scatter([0],[0], s=130, facecolors='none', edgecolors=plt_blue, lw=2)\n",
    "plt.scatter([0],[1], s=130, c=plt_blue)\n",
    "plt.plot([0,1],[1,1], c=plt_blue)\n",
    "plt.scatter([1],[1], s=130, c=plt_blue)\n",
    "plt.scatter([1],[0], s=130, facecolors='none', edgecolors=plt_blue, lw=2)\n",
    "plt.plot([1.05, 1.5],[0,0], c=plt_blue)\n",
    "\n",
    "plt.xlim(-1.5, 1.5)\n",
    "plt.ylim(-.1, 1.1)\n",
    "file_helper.save_figure('uniform-box-distribution')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Height of a Gaussian (mu, sigma-squared) at x\n",
    "def gaussian(x, mu, sigma2):\n",
    "    s2 = 2*sigma2\n",
    "    f = 1/math.sqrt(math.pi * s2)\n",
    "    g = np.power((x-mu), 2)/s2\n",
    "    return f * np.exp(-g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ERET2YzSZcCy9BPvOFiCvuKbN18gEAYNjg5Aytg8G9gnq5gipO7GAILLR+azb+O+eqyir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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f4922e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show a bunch of different Gaussians\n",
    "xs = np.linspace(-3, 3, 200)\n",
    "\n",
    "mu_list = [0, 1, -1, -1]\n",
    "sigma_list = [0.3, 0.3, 0.15, 1.4]  # really sigma^2\n",
    "plt.figure(figsize=(8,5))\n",
    "subplot_num = 1\n",
    "\n",
    "for mu, sigma in zip(mu_list, sigma_list):\n",
    "    plt.subplot(2, 2, subplot_num)\n",
    "    ys = [gaussian(x, mu, sigma) for x in xs]\n",
    "    plt.plot(xs, ys, lw=2)\n",
    "    plt.ylim(-0.1, 1.1)\n",
    "    plt.title('ABCD'[subplot_num-1])\n",
    "    subplot_num += 1\n",
    "\n",
    "plt.tight_layout()\n",
    "file_helper.save_figure('gaussians')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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j1/Fk48Dpob2DCbDAwOmmMH5wGKqKdSB2HE8mX11q44iEEEI4giMX0snMKwag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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12089e438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show points randomly drawn from the Gaussians above\n",
    "file_helper.save_figures = True\n",
    "np.random.seed(45)\n",
    "xs = np.linspace(-3, 3, 200)\n",
    "\n",
    "mu_list = [0, 1, -1, -1]\n",
    "sigma_list = [0.3, 0.3, 0.15, 1.4]\n",
    "plt.figure(figsize=(8,5))\n",
    "subplot_num = 1\n",
    "num_samples = 50\n",
    "\n",
    "for mu, sigma in zip(mu_list, sigma_list):\n",
    "    plt.subplot(2, 2, subplot_num)\n",
    "    ys = [gaussian(x, mu, sigma) for x in xs]\n",
    "    plt.plot(xs, ys, lw=2)\n",
    "    drawn_samples = np.random.normal(loc=mu, scale=math.sqrt(sigma), size=num_samples)   \n",
    "    plt.scatter(drawn_samples, np.random.uniform(-.05, .05, len(drawn_samples)), c='red', s=30)\n",
    "    plt.ylim(-0.1, 1.1)\n",
    "    plt.xlim(-3, 3)\n",
    "    plt.title('ABCD'[subplot_num-1])\n",
    "    subplot_num += 1\n",
    "\n",
    "plt.tight_layout()\n",
    "file_helper.save_figure('gaussians-with-samples')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CLsOwvoGYOboneoZ6SxwxERFRxxmMRpxKKcShi7m4VVAFoGm7t80rFDJBwIAoPySM6Yl+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\nERERUcBYQBARERERUcD+HyDqvWgWqOPPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12088d5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show means of the Gaussians above\n",
    "xs = np.linspace(-3, 3, 200)\n",
    "\n",
    "mu_list = [0, 1, -1, -1]\n",
    "sigma_list = [0.3, 0.3, 0.15, 1.4]\n",
    "plt.figure(figsize=(8,5))\n",
    "subplot_num = 1\n",
    "\n",
    "for mu, sigma in zip(mu_list, sigma_list):\n",
    "    plt.subplot(2, 2, subplot_num)\n",
    "    ys = [gaussian(x, mu, sigma) for x in xs]\n",
    "    plt.plot(xs, ys, lw=2)\n",
    "    plt.plot([mu, mu],[0,gaussian(mu, mu, sigma)], lw=2, color='#E84F69')\n",
    "    plt.ylim(-0.1, 1.1)\n",
    "    plt.title('ABCD'[subplot_num-1])\n",
    "    subplot_num += 1\n",
    "\n",
    "plt.tight_layout()\n",
    "file_helper.save_figure('gaussians-with-means')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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z3n5mqvPN+buXr48Cs8f3AQCIAHbdFT85DxYQ5DEOXihEo9687c3kpGiEBbrG\nus5zJ8ZZl3Xdf6EQdVr7lsojIiLPcvZaKSpqGwEAQ+NDMDDWOef83Wv6yBhrL8S5a6UormQvhLNh\nAUEeQddkwP4LBQAAmSBg9njXWdEoLEiFh0f0AgA06Y3Yd4a9EEREdH8mk4hdLXP+AGDOxDjpgrGR\n0luOWePu9ELsZC+E02EBQR7h8I9F1rkPE4ZGIiLINXofLJ6cEGfeZAfAoR/ZC0FERPd3IbMMpVXm\nuQ+D+gS5TO+DxfRRvVvNhWAvhHNhAUFur6nZaJ07IABImeA6vQ8Wwf5KPJxs7oXQN5uw/3yBxBER\nEZGzMoliq6v2T7pQ74OFj7cCM8fGAjDvVs25EM6FBQS5vaOXb6Nea1696KHBEYgOVUsckX1mj+tj\nnQtx8GIhV2QiIqJ2Xc6qQFG5+Yp9Qq8ADO4bLHFE9pk+KgZqH/OOA2eulaKkpUeFpMcCgtxas8GI\nfWfvjAF9ckKcdMF0UUiADyYnRQMAGvVGHGxZUYqIiMhCvKf3Yc6kOKdfeakjKqUCM8e2zIVgL4RT\nYQFBbu1EajFqNOb5AqMGhiMmwrn3fXiQ2eP7WveF2H+hgLtTExFRK2k5VbhVYt51uk+kH4b3c+59\nHx5kxui7eiGulqK0mr0QzoAFBLktg9GEPWfu6n2Y6HpzH+4VEaTChKGRAICGRgMO/1gkcUREROQs\nzL0Pudbbcya6bu+DhUqpwOMPmedCmESRvRBOggUEua3T6SWorGsCACQlhCIuKkDiiLpHyoS+sDQH\n35/LR1OzUdJ4iIjIOVzPr0F2UR0AoHeYGiMHhkscUfeYMToWvkpzL8Tp9FKU1+gkjohYQJBbMppM\n2N2q9yFOumC6WXSoGg8NjgAA1GubcfTybYkjIiIiZ7Dz5J3ehycm3hny6up8fRR47K5eiL13te8k\nDRYQ5JbOZZShrNp8hWJw32D07x0ocUTd6+7J4PvO3kKzgb0QRESeLKuwBtfzawAAkcEqjB0UKXFE\n3WvG6Bj4eMsBACfSilFV1yhxRJ6NBQS5nXvHSLrS7pudFRPhh5EDwgAANRo9TqQWSxwRERFJadep\nO1fln5gQB5nMPXofLPxUXpg+KgYAYDCK2NeyvxNJw64CoqamBh988AGmT5+O5ORkzJs3D5s3b7Yr\ngL/85S8YNGgQTp8+bdf5RPe6lFmO4krzKg0DYgKR2Me1dt/srDmT4qw/7zmTD4PRJF0wRGDbQCSV\n3OI6pOXCl05mAAAgAElEQVRUAgBCA3wwfqh79T5YPP5QLLwV5q+uxy7fRl2DXuKIPJfNBYROp8Pi\nxYuxceNGzJw5E8uXL0dISAiWL1+ONWvW2PRc586dw+eff+7yKwSQ82iz/rUbrEDRkbioAOvyfJV1\njThztVTiiMiTsW0gks7dve4pE/pCIXfPASYBam9MHdEbAKA3mPDD+QKJI/JcNn/C1q1bh4yMDHz8\n8cdYtmwZFixYgC+++AKTJk3C6tWrUVrauS8x9fX1eOedd+Dl5WVz0EQduXKzEgVlGgBAfLQ/hsaH\nSBxRz7p7adrdZ27BZBIljIY8GdsGImkUlmnwY1YFACDIzxuTh0dLHFHPmjWuDxRy88WFg5cKodE1\nSxyRZ7K5gNi+fTvCw8ORkpLS6v4lS5ZAr9dj586dnXqeP/7xjxBFEQsXLrQ1BKJ23dv78KQb9z5Y\nDIgJwqCWIVqlVVpcyCyTOCLyVGwbiKSx63Se9efZ4/rCS+GevQ8Wwf5KTE7qBQBo0htx8GKhxBF5\nJps+ZRqNBjk5OUhKSmpzzHJfamrqA59n27Zt2LdvHz766CP4+/vbEgJRh67mVSG32Lz+dUy4H0b0\nD5M4Isd44q5J4rtO5cEksheCHIttA5E0iisbcD7DfOEowNcLD4/oJXFEjpEyro91idoDFwqgazJI\nHJHnsamAKC0thSiKiIqKanPMz88ParUahYX3rwQLCgrwn//5n1i0aBHGjRtnW7RE97HrZJ715zmT\n3L/3wWJI32D062XeJK+wvAFXblZIHBF5GrYNRNLYc/oWLJeMZo7tA6WXXNJ4HCUsSIUJw8wTxRsa\nDTj8Y5HEEXkemwqI+vp6AIBarW73uEqlglar7fB8k8mEt99+G7169cJvf/tbW16a6L4y86txo7AW\nABAd6ovRbrL7ZmcIgtBqX4hdp25BZC8EORDbBiLHK6vR4XTL4hlqHwWmjewtcUSOlTK+LyyXCb8/\nl4+mZu6H5Eg2FRAP+lIiiiLk8o6r308//RRXr17Fn//8Z3h7e9vy0kT31Wrugxuuf/0gyf1DERvh\nB8C8nN+1vGqJIyJPwraByPH2nrllHbL62JhYqJQKiSNyrOhQNR4aHAEAqNc249jl2xJH5Fls+rRZ\nri7pdLp2j+t0OsTGxrZ77MqVK/j73/+OxYsXIyIiAtXV5i84lqtSDQ0NqK6uRlBQkE1DT+RuuFSZ\nJSfm1jk3C2utX5gjglWYmBQFuaxrz29PAXL3tY/uKGAUNk6Emzs5Hp9sSQMA7D6dh+QB3TcHxJ0/\nk4B75+eInNg2OIYnfE6ZW+dU1TVaNxBVKeWYOb6PzW3GvVy13TvXMgdk37l8PPpQbLdOIveEz6W9\nbCogYmJiIAgCSkpK2hzTaDTQarXtjoEFgOPHj8NoNOKzzz5rsya4IAhYunQpBEHAwYMH0atX5ycB\nBQSobEnBpTC3ztmzOc368/OPJSIs1L7Jl5ZffoIAqHxsvwraIAgQYf4823O+5bUtsQQHtz8cpCOP\nTYjHtuO5KCrX4Hp+DW5XN2Joyz4R3cWdP5OA++fXU9g2OBZzc03dmdvGI9kwtizb/eTkfoiJtm/D\nVFdv94KD1Rg3NApnr5agur4Jl25WYtZdQ3q7izt/Lu1lUwHh6+uLhIQEpKentzl2+fJlAMCoUaPa\nPfepp57C6NGj29y/bds27NixA2+//TYGDx6MsDDbrprW1elgdLMdeOVyGQICVMytE/KK63AhwzwG\nNDTAByMTQlBd3WDXc1n2UBBFQNdo++6WlmEcoijadb7ltS2x2JNHyvg++GznNQDA+n0Z+LefjLQr\njnu582cScO/8LLn1JLYNjuEJn1Pm9mA1miZ8f+YWAMDbS4ZpydEe3e7NHheLs1fNFy++3Z+J0QNC\nu20jPU/4XNrL5gFzc+fOxapVq7Bnzx7ret+iKGLt2rVQKpVt1gC3iImJQUxMTJv7L168CAAYPHgw\nJkyYYGs4MBpNMBjc6021YG4PtuVojvXn2eP7ACK65Xm7uiFbd2zoZk8eDw2KwNZjOaiobURqdiWy\nCmoQHx3Q5Vgs3PkzCbh/fj2JbYPjMDfX1F257TqZh+aW53lkZG+ovBUe3e71ifDHsPgQpOdWoaK2\nESdTizGpmzfTc+fPpb1sLtEWLVqEhIQEvPPOO1i5ciW+++47vPbaazh9+jR++9vfWq8SZWZmYseO\nHcjMzOz2oIkA4FZJPS63LFka7K/ElCTPWP/6fhRyGWaPv2t36tO3JIyGPAnbBqKeV6tpwpGWJUu9\nFDLMGttH4oicw5N37Ye0+/Stbilm6P5sLiCUSiXWrVuHp556Cjt27MCHH36Iuro6rFy5Eq+++qr1\ncfv378eyZcuwf//+7oyXyGr7iVzrz09McP/dNztr8vAoBPmZx6JeulGOwjKNxBGRJ2DbQNTz9p7N\nh/6u3odAP6XEETmHgbFBSIw1zwMpqdLiQmaZxBG5P7vW/AoODsaKFSuwYsWKDh+zdOlSLF269IHP\n1dnHEd2NvQ8d81LIMWtcX2w4mAUA2H4yF28+PVziqMgTsG0g6jm1mibrhmneChlmj2Pvw92enBSH\nzA3mOVe7TuVhzKAI627V1P14yZZc0t29Dynj2ftwr6kjeiFQbe6FuJhZjvzSeokjIiKirth7Nt86\n92Eaex/aGNI3GP16mef8FZY34ErLRUbqGfzWRS7n3t6Hh5O7d7KUO1B6yZEy4c5ciG3Hc+/zaCIi\ncmY17H14IEEQWs2F2Hky74GbXJL9WECQy9lx8t7eh453uPVk00b0QrC/+QrV5ZsVyLldJ3FERERk\nj71n2PvQGckJoegT4QcAyLvrYiN1PxYQ5FJuldTjxyz2PnSGl0Le6mrMthM5HT+YiIicUo2mCUcu\n39X7cNdKe9SaIAiYNyXeenvrsVyY2AvRI1hAkEth74NtpiRFIzTABwCQnlOFm4W1EkdERES22HPm\n1p19H0b1ts5vo/aN6B+G+Gh/AEBhuQYXrnNFpp7AAoJcRm5xHXsfbKSQyzBnUpz19tbj7IUgInIV\n1fVNOHr5NgBz78Oscex9eBBBEPD0w/2st7cdz4XRxE3guhsLCHIZm49mW39m70PnTRwWhYgg83b1\nGbeqcf1WtcQRERFRZ+w8dWfX6emjYtj70ElD40IwMCYQgHlfiDNXSyWOyP2wgCCXcDWvCtfyzF98\nw4N8MHUE933oLIVchrmT46y3tx7P4coUREROrqRKi2MtvQ8+3nLMGs+Vlzrr3l6I7SdyYTCyF6I7\nsYAgp2cSRWw6cqf34ekp/aCQ86Nri/FDohAd6gsAyCqsRXpulcQRERHR/Ww5lmOdADxrXB8E+LL3\nwRaJfYIxNC4YAFBR22gdCkbdg9/CyOldzCzHrRLzRmixEX4YOyRS4ohcj0wmYN7kOytTbDx8EyYT\neyGIiJxRbnGddfJvgNobjz8UK3FErmn+1ATrz9tP5ELbaJAwGvfCAoKcmsFowpa75j48MzWBW9Pb\nacygCOvKFEXlDTiZVixxREREdC9RFPHd4ZvW23MnxcHHWyFhRK4rPjoAYwdHAAA0umbsPXtL4ojc\nBwsIcmrHU4tRWq0DACTGBmF4vxCJI3JdMkHAgkf6W29vOZ6DJr1RwoiIiOheV3OrcD2/BgAQEaTC\nw8mc89cVz0xNgEJuvvD4w/kCVNU1ShyRe2ABQU6robEZW4/dWXb0mWkJENj70CWJfYIxckAYAKBW\no8f35/IljoiIiCyMJhO+vav3Yf5UzvnrqvAgFaaPigEANBtMXM68m/BTSU5rx4k8aHTNAICxgyPQ\nv3egxBG5h+ce6Q+5zFyI7T2bj1pNk8QRERERABz58TaKyhsAAPHR/hgzKELiiNzDkxPj4Ks0DwM7\nlVaC/NJ6iSNyfXYVEDU1Nfjggw8wffp0JCcnY968edi8ebPN5w4bNgwTJkzAr3/9a2RnZz/4ZPIY\nxZUNOHSpEIB585znpvV/wBnUWVEhvtZlcJuajdhyjFdjqHuwbSCyn0bXjG13XR1/4dGBnPPXTfxU\nXnhyYhwAQASw/kAWlzPvIptn5eh0OixevBhZWVl46aWXEB8fj71792L58uWorKzEG2+80eG5er0e\nL7/8MnJzczF//nwMGzYMhYWF+Prrr3H8+HFs2LABAwcO7FJC5B42HLwJY8sqQbPH90VooI/EEbmX\nuZPjcfpqCXRNRhxPLcbDyb2QwB4e6gK2DURds+14DhpaVgmaMDSKv5O72YzRMTjyYxHKanS4UVCD\ns9dKMX5olNRhuSybeyDWrVuHjIwMfPzxx1i2bBkWLFiAL774ApMmTcLq1atRWtrxbn9r165FVlYW\nVqxYgRUrVmDBggX43e9+h3Xr1kGv12PlypVdSobcQ2p2BdJyKgEAIQFKzBrHzXO6W4CvN56acmeT\nna9+uMFlXalL2DYQ2a+wTIPDPxYBAJRecjw7LeEBZ5CtvBQy/OTRAdbb3x6+CV0Tl3W1l80FxPbt\n2xEeHo6UlJRW9y9ZsgR6vR47d+7s8NyTJ09CqVTi6aefbnX/kCFD0L9/f1y4cMHWcMjN6JuNWH8g\ny3r7uWn9ofSSSxiR+5o+qjdiwv0AALdK63HkcpHEEZErY9tAZB9RFLH+wA1YRtQ8ObEvgv2V0gbl\nppL7h2FE/zsLiew4mStxRK7LpgJCo9EgJycHSUlJbY5Z7ktNTe3w/FWrVmHjxo3trqRTWVnJFXYI\nu07noaxl2dYBMYHW9Zup+8llMrz0+J1hIVuO5qCuQS9hROSq2DYQ2e9Ueol12dbwIB9uGtfDFj46\nwLqy1YELhSiqaJA4ItdkUwFRWloKURQRFdV2zJifnx/UajUKCws7PD8sLAyJiYlt7t+2bRvKy8sx\nfvx4W8IhN1NYrsHeM+ZlReUyAa/MTOQXhx42MDYIk4aZ/z1rmwz47sjNB5xB1BbbBiL71DXoseHg\nnV73Fx9LhJeCve49KSJIhZTx5qHRRpOIr77PhIkTqm1mUwFRX29e9kqtVrd7XKVSQavV2hTA9evX\n8cEHH0ChUOCtt96y6VxyHyZRxD/3XrdOnE4Z3xe9W4bXUM969pH+ULUsb3cyrQTpuZUSR0Suhm0D\nkX2+OZhlnTg9bkgkkhJCJY7IM6SM74uwlsVZMgtqcPRHDuG1lU2rMD1oyStRFCGXd75yTktLw09/\n+lNotVr88Y9/xJAhQ2wJBwAgd8MNViw5eVJuBy4UIPt2HQDzMqPzHo6HQiFd/jKZ7T0fd+/pbM/5\n93JU/qGBPnh+en98ufc6AODLvdfx4RsT4Otz59eDO38mAffOzxE5sW1wDE/4nHpSblduVuDsNfPi\nAmqVF16emch2z0H5KxQyLH5iMFau/xEAsPFwNkYMDEd4kKrV4zzhc2kvmwoIy9UlnU7X7nGdTofY\n2M6N3Tt06BB+//vfo6mpCcuXL8fChQttCcUqIED14Ae5KE/JraxKi+8O31nr/VcLRyIyPMDhMVl+\n+QkCoPLxtvn8BkGACEAQBLvOt7y2JZbg4Pav5vaEp6cPxKWsCqTerEBVXRO2nsjF0udGtHmcO38m\nAffPr6ewbXAs5uaa7s5N29iMf32fab3903nD0Dcm2OExeXK7N2W0GldyqvD9mVtoajZi3fc3sOJn\nE9odOu3On0t72VRAxMTEQBAElJSUtDmm0Wig1WrbHQN7r/Xr1+NPf/oT5HI5/vznP+OJJ56wJYxW\n6up0MBpNdp/vjORyGQICVB6Rm8kkYuW6i9al1KaO6IWYEBWqqx0/qcmyjKkoArpG2ycTW67CiqJo\n1/mW17bE4ui/g0WzErF8TTUa9UZ8f+YWkuJDMLylO92dP5OAe+dnya0nsW1wDE/4nHpKbp/tuIry\nlgVDhsaHYGRCCNs9Cdq9+VPicf5aCarqmnA5qxxbD2XhkVG9rcc94XNpL5sKCF9fXyQkJCA9Pb3N\nscuXLwMARo0add/n+PLLL/HRRx8hMDAQn3zyCcaMGWNLCG0YjSYYDO71plp4Qm67TuUhs8C8+kRo\ngA+em9bfKXLu6p4I3bGngqP/HoL9lHjukf5Y13JV7PPd17Bi8bhWQ5nc+TMJuH9+PYVtg2MxN9dk\nye1cRimOpxYDAJTecrw8MxFGowjzHsnS8cR2z0suw6uzBuG/N14BAHxz4AYS+wQh4p6hTO78ubSX\nzQOg5s6di+LiYuzZs8d6nyiKWLt2LZRKZZs1wO927NgxfPzxxwgODsbXX3/d5QaCXFtucR22nzCv\nwSwIwE/nDGn1ZZUcb9qIXhjc19yNXlXXhC/2ZjxwfDsRwLaBqDMqaxvxz313hi699NjANl9WybGG\n9QvF5OHRAIBGvRF/35aOZhYLD2Tzt7VFixZhx44deOedd5Ceno74+Hjs3r0bZ8+exbJlyxAWZt6g\nIzMzE5mZmUhMTERiYiJEUcSf/vQnAMAjjzyCa9eu4dq1a22ef+7cuV1MiVxBk96INTuvtVp1aWBs\nkMRRkSAIeC1lEN5fex7aJgMuZpbj0KUizORu4PQAbBuI7s9kEvHZzqvWIbtjB0dg4rAHD+2jnveT\nRwfgRmENyqp1yCupx6Yj2a12raa2bC4glEol1q1bh1WrVmHHjh1oaGhAfHw8Vq5ciTlz5lgft3//\nfnzyySd48803kZiYiJycHOTnm9f437p1K7Zu3dru8z/55JOQydxvtjvdIYoi1u7OQGmVeVnHuCh/\nzJscL3FUZBEWqMKSJwbjb1vSAADfHsrCgNggjHbg5DZyPWwbiO5v2/Ec3CisBQCEBii515ETUSkV\n+MW8YfjTugswGEXsv1CAQX2D8NDgSKlDc1p2jRcJDg7GihUrsGLFig4fs3TpUixdutR6OyEhARkZ\nGfa8HLmZbUezcfqqebKl0kuON+YOte4KSc5h5MBwPP5QLH44XwCDUcQnW9Lwv/3CpA6LnBzbBqL2\nnU4rxrbjdw/ZHQpfHy+Jo6K79Y3yx/PTB+Dr/TcAAGt3ZyAuOsChK0O5En5rI4dKz6nEl7uuWm+/\n/uRgRIX4ShgRdeTZaQno18u8nG55jQ7/9dUFGE0cF0pEZIvCMg1WfXPRevuZqQkcsuukpo/qjdED\nwwEADY0G/M/GK9A2NksclXNiAUEOU16jwydb02FZqOHJiXEYnRghbVDUIYVchp/PGwp1y8T2i9fL\nsO77G5xUTUTUSRpdM/5n4xXomsxbro0bEonZnFPmtCzzACOCzRPbC8o0WLmOF8/awwKCHKJeq8f/\nfHcFDTpzJZ/cPwxPTeG8B2cXFqjCm08Ph7xls6FDFwvxw/kCiaMiInJ+zQYjPt2ahrIa834PcVH+\neHX2IM57cHK+Pl749bNJrS6erd+fJXFUzocFBPU4XZMBqzZeQXGledJ073A1fv7UUMj4S9QlDOob\njCVPDrbe3njoJi5mlksYERGRczOaTPj79qu4nm/e5yjIT4lfPZcMpZdc4sioM6JD1a0unu0/X4D9\nvHjWCgsI6lHNBiNWb0lDXkk9ACDIzxvv/3QC1Jw85lImJ/XCTx5PBGDe6ugfO9KRml0pbVBERE7I\nJIpYu/s6fsyqAAB4e8mw/LWxCAv0kTgyssWgvsF4LeXOxbNvDmbh8I9FEkbkXFhAUI8xGM1XYDJu\nVQMA1D4KvP3CKESFckUDV/STxxMxabh5zXKDUcTqLaksIoiI7iKKIr7Zn2VdaVAhF/Cb55IxKC5E\n4sjIHg+P6IWFjyVab6/7PhNHLrOIAFhAUA9p1Bvw102p1iswSi85fvNcMmIi/CSOjOwlCAJenzME\nYwaZJ76ziCAiusNoMuHLvddx8FIhAPNyrT+bOwzD+oVKHBl1xQszE/HExL7W2//al4ljV25LGJFz\nYAFB3U6ja8Z/bbiMq7lVAABvhQxL5w9HQu9AiSOjrpLLZPjZ3LZFhOVqGxGRJ9I3G/HJlnQcTy0G\nAAgAFqcMxujEcGkDoy4TBAELHumPWWPvrJ715d7r2Hkqz6NXJbRrIzmijpTX6PDXTam4XdEAAPBV\nKvDr55IwIIZrXrsLSxEBABeul8FgFPHZzmsoqdRi3pR4To4nIo+i0TXjb5tTkdWyy7RcJuCnc4Zg\nLHcxdhuCIOC5RxJgEkXrSoRbj+WgrEqLRbMHeeRmuCwgqNtcvlmB/7vzGrRNBgBAoNobv3t+BGI5\nbMntWIoIPx8Fjlw2d+XuPJWHkiotFj8xmCuNEJFHyC2uw6db01FZ1wgAUHrLsXT+cAzlnAe3IwgC\nnp/eHwFqb2w6kg0AOJlegsq6Rvz8qWEI8PWWOELH8rySibqdySRiy7Ec/O+mVGvxEBmswrsvj2bx\n4MbkMhlenpmIhdP7w9LncP56GVZ8eR63WlbdIiJyR6Io4tClQvx/X120Fg/+vl5Y9sJIFg9uTBAE\npIzvi188Ncza63A9vwZ//Pycddi2p2APBHVJUUUD/rn3Om4W1VrvGzUwHItTBsPXhx8vdycIAh4f\n2wcRwb74x46raGo2orhSi//81wXMf7gfZo7tA5mMQ5qIyH1U1zfh6/03cOnGnf1wEnoH4BfzhiEk\ngEu1eoKHBkUgxF+Jv21ORZ22GbUNevzl28uYNbYPnn64H7wU7n99nt/wyC4Gowl7Tt/CrtN5MBjN\nk4hkgoBnpyVg5thY7rTpYUYMCMP/WTQGa3ZeRX6pBkaTiO+OZONSVjleeHQg4qMDpA6RiKhLTKKI\noz8WYdPRbOiajNb7H38oFs9OS/DIcfCeLKF3IP5j8Vh8vjsD6S29D/vO5ePyzQq88OgAt199y64C\noqamBn/7299w+PBhVFZWIi4uDq+88gqeeeaZB55rMpnwr3/9Cxs3bkRRURFCQ0MxZ84c/PKXv4RS\nqbQnHHIgkyjiYmY5thzLQWmV1np/RLAKi1MGY2AsJ0t7ql5harz3yhhsPZ6DfWfyIQLILqrDf/7z\nAiYNj8YzU/sh0I//xt0Z2wZyVxl5Vdh8LAc5t+us9/n7euGVmYkYnRghYWQkpUA/JX6zIBkHLhRi\n05GbMBhFlFRp8d8br2DkgDA8P70/IoJ9pQ6zR9hcQOh0OixevBhZWVl46aWXEB8fj71792L58uWo\nrKzEG2+8cd/z33//fWzcuBGzZs3CokWLcPXqVaxZswbXrl3DZ599Znci1LNMooi07EpsPZ6D/FKN\n9X6ZIGDWuD6YOykO3pw46/EUchmem9YfSf1C8a/vM1FcqYUI4ERaMc5dL8XU5N6YOTaW3fxuiG0D\nuaOswhpsPZaD6/k1re6fnBSNBY/0h5/KS6LIyFnIBAGPPxSLwX2Dse77TOuQ7h+zKnDlZiXGD43E\nExP6ItrNNtG1uYBYt24dMjIy8Je//AUpKSkAgAULFmDJkiVYvXo15s2bh8jI9pcuS01NxcaNG/H8\n88/jP/7jP6z3R0dH43//93+xb98+zJo1y85UqCdoGw04mV6MQ5eKWvU4AMDAmED85NGB6BvlL1F0\n5KwS+wTjPxaPxaGLhdh+Mhe6JiP0zSbsv1CAQ5cKMX5oJKaN7I1+0QEc7uYm2DaQu9A3G3H+ehkO\nXSpCbnFdq2O9wtR46bGBGNQ3WKLoyFnFRvjh3ZdG4czVUmw8chO1Gj1MoohT6SU4nV6CUQPDMXVk\nLwzpG+IWcwNtLiC2b9+O8PBwawNhsWTJEpw8eRI7d+7E66+/3u65W7ZsgSAIePXVV1vd/+qrr+LT\nTz/Fli1b2Eg4gWaDEek5VTifWYYfb1SgqdnY6njfSH88M7UfhsaH8MsfdUghl+HxsX0wfmgUdp7K\nw7Ert9FsMMFoEnEyrQQn00oQHeqLScOj8dCgCIQHqaQOmbqAbQO5MqPJhBv5NbiQWY5zGaVoaDS0\nOh4RrMJTk+MxdnCkW3z5o54hCAImDIvCiAFh+OF8AQ5cKEBDowEigIs3ynHxRjlCApSYOMzc7sWE\nq132e5RNBYRGo0FOTg5mzJjR5lhSUhIA85WkjqSmpsLf3x/x8fGt7lepVBgwYACuXLliSzjUTURR\nRGm1Dhl5Vbh2qxpXc6vQqDe2edygPkF4dEwsRg4Ic9kPPDlegNobLz42EHMmxuHAxQIcvFgEXcty\nv8WVWmw6ko1NR7LRK0yN5IRQDIsPQb9egVB6c0icq2DbQK6oqq4RGbeqcf1WNa5kV0Kja27zmD4R\nfpgxJgYTh0VBLuMkaeoclVKBeZPj8fhDsTh6+Ta+P5eP2gY9AKCqrgm7TuVh16k8hAb4YET/MAyN\nD0H/mECXGhJnUwFRWloKURQRFRXV5pifnx/UajUKCws7PL+kpKTdcwEgMjISGRkZ0Gg08PPj3gE9\nxWgyoaK2ESWVWtwqrUdecT1yS+pQq9G3+3hfpQJjh0Rixqje6B3O94XsF6D2xvyHEzB7XF9cyCzD\nybQS3Ci4M674dkUDblc0YO/ZfMgEAbGRfujfKxAxEWrEhPuhd7gaPt5cOM4ZsW0gZ2YSRdTUN6G4\npd27VVKP3OI6VNQ2tvt4L4UMYxIjMH1Ub/TrxWGWZD+VUoFZ4/rg0TExuHKzAsdTi5GWUwnRvHgl\nKusacfBSIQ5eMv9+7B2uRkKvQMRG+CE2wg8x4Wr4+jhnUWFTa1xfb94cSq1ufyKISqWCVqtt95jl\n/D59+nR4LmCeiMdGwnYmUUST3ghdkwH1LWsS1zY0oa5BjxqNHuU1OpRWaVFR2wijSbzvc6l9FBgx\nIAwPDYrAkLgQLk1H3UqlVGBKUi9MSeqFsmotzmWUITW7EtlFtbB8Mk2iiFsl9W02pAtUeyMs0Aeh\ngT4IC1QhNNAHAb5e8Pf1hp/KC36+XvDz8eIQAwdj20BSEEUReoMJuiYD6hr05v+1etQ1NKNG04Sy\nah3KanQoq9bBYDTd97m8vWRISgjDmMRwJCWE8mIFdSuFXIbRiREYnRiB6vomXMwsw5WbFbieX9Pq\nO1lReQOKyhtanav2USAsUIWwIB+Et7R7/i3tnr+1/VM4vIfMpn8honj/L56iKEIu73jYwf3Otxy7\n3zWikLoAACAASURBVPn32n0iB1qdHsaWfQgsz2F9FRH33G59/N5wxHtOuPO41g8UH/C8Np9/108m\nk/nLk0IhR4NWD32zEQaTCIPRBKPR/KfBaLL+0mzUG9GoN6CxyYj7vzsdUykV6Bftj8FxIRjcNxh9\nI/35BYwcIiLYF09OjMOTE+NQr9UjPbcKWQU1yCqqxe3yhjafaXNhrEf27bp2n89C6SWH0lsOpZcM\nSi8FfFp+9vaSQy4TIJfLzH+2/OylkEHt643mZgMECJAJ5pU1YP4PEAQI5j9gvim03A8IECDc8zjL\ned115bIrT+PtJcfT0wd2Sxwdcfa24UGv1+6j2rQPbZ7kQae095B2zrn/C919UyYToFJ5Q6vVw2Tq\n+Atxe6/7oPjbHn/wczzofW8vlvb+1tq0ewYjjCYRBqMIo9EEQ0vbp282olFvhK6lzdPpDZ36O26P\nl0KG+Ch/DOobjMF9g9GvV6BHbP5F0gv2V+LRMbF4dEwsdE0GXMurwo2CWmQV1iC/VAPTPR/qhkYD\nGhrrcau0voNnNPNSyKD0kpvbO2/znz5ecngp5FDIBSjkMshb/lTIZPDxkePnz4ywOw+bCgjL1SWd\nTtfucZ1Oh9jY2Pue39jYfpeh5TltucL0961pnX4sma+wRIX4IjLYF5EhvugT6Ye46ABEBKvMX5Yc\nQN7SmyF38l4Newqou2eNdEcBpnCixswR71twgA+mJPfClOReAICGxmbcKqlHYZkGBWUa3K5oQEVt\nI6rrmx74XE3NxjaT/z1ZTxcQbBvIWXnJZYgIVpn/D/FFnwg/xEcHIDrM12FXbNnudZ4ztXtAz793\n/gpvjBsahXFDzUM4G/UGFJRpUFB6p90rr9Ghsq7xgcVys8GEZoOp3bk8HXFYARETEwNBEFBSUtLm\nmEajgVar7XAcq+X8oqKido+VlpYiODgY3t7etoTk0VRKOVRKL6iUCvj6mP9XKRUI9FMi2N8HQf5K\nBPsrEeSvRGSIL0ICfJxmLGdAgPOtuOOnUsPYbISxuhkhsH2ohKbSCGONDvIgBfzsOB8AjNXNkCsV\n8FOpERzsfGtGO/J9CwYQE912Y0J9sxEVLUPyymt0qNU03Rm+0KBHfYO+5QqlAbomI5r0BugN9x++\nQF3DtoEcRekth69SYW33VEov+PooEKD2RnCAD4L8zG1ekL8SUSFqhAb6OE2PurO2e6JJlLzdE+Qy\np233AMe+d9GRgRg7vPV9BqPpTrtXrWtp75pQqzEPV69v0LcakaLTG9DUzmI43cmmAsLX1xcJCQlI\nT09vc+zy5csAgFGjRnV4fnJyMq5du4aCgoJWV6O0Wi2ysrIwbdo0W8LBb38yEjpds7Ub1forouVL\nstD6Ju4cFu55PO65be/5QgePb/3A+z2vIABKbwUCA3zQ1NgMAbB2Pd3d/eQll9n2S9FkQk1Nx2OQ\nHUUulyEgQIW6Oh2MDxiT6mgvTn0BSi8fPDtxPiYPmWz7E/j3g+n7Y5DNfBgYPfzBj29HQEQoNp3a\ngmcnzkd1dcODT3AQZ3vfVAoBcRFqxEV0rrExmkxo0pvMQyOMIowm83KyRqMIg8kEQIDSxwt19Y1o\nbjbCJIoQRfPwCxEiWv67M0yy5TbElgEoIqzdzm2OdVUXn8TLq+ev6Dlt23D3fK97f9/ee9I9v5Dv\nPd6Zay/3XqBp+xpdi0Eul0Gl8oZO1/EQJttjuOfxncrz/k9q69+dXCbA21uBAP+Wdk8AFLLWQy7k\nMgHeXjIbew1MqK1lu3c/L059AZu8trDd64AzvXdK2f9j787DoyrP/oF/z8wkk8m+7wlZgIQACZu4\n4ALBFQuobalVBAGlrVvfqgj+6NX2lcpV6WW52oJvpRVtIxarCMQG1CioiMgiBAiQAFkge8g6mSWZ\nzMz5/REmJCSBmclkzizfz1/xnDmT+/YMuec+53meAyRH+iM50ronW5vNIrq6Teg2mnuHvxv7DIUf\n7l0Vm2cJzZs3D+vXr8euXbt61/sWRRGbN2+GUqkcsAZ4X3PnzsV7772Ht956C7/73e96t7/99tsw\nmUx48MEHbYold1oyWlu1MHrY1UWFQoawsIBr5mY2izBfZzK0KzOZzC533m4aewtuGnsLANgVm2Lq\nRETcedOwPpPDjWGkueJ5s5avQgbfIW6PW/Nvzl05a0gAa8PI8/TP6fVyE8243PC7J1f8+8m6Zx1X\nPHfW8Ll8wXkww60NNjcQixcvRn5+PlatWoXi4mKkpqaioKAABw8exMqVKxEZGQkAKC0tRWlpKTIy\nMpCRkQEAmDx5Mh588EG8//77aGtrw6233orjx4/jww8/RG5u7qBriBMRketjbSAi8h7y3/W93GMF\nhUKB++67D21tbfjkk0+wZ88e+Pv746WXXsJPfvKT3tdt3boVa9euRUREBKZPn967PTc3F76+vvj6\n669RUFCA9vZ2PPbYY1i9erVNq2xYdHZ2u/WV+MFYVtpgbu6FubkvT87PkttIY20Yed7wOWVu7sWT\ncwM8O7/h1gZBtGYdNhfmrbdy3RVzc0+enBvg2flZcvM2nnwumZt7YW7uy5PzG25tcK31soiIiIiI\nyKWxgSAiIiIiIquxgSAiIiIiIquxgSAiIiIiIquxgSAiIiIiIquxgSAiIiIiIquxgSAiIiIiIqux\ngSAiIiIiIqu5/YPkiIiIiIjIeXgHgoiIiIiIrMYGgoiIiIiIrMYGgoiIiIiIrMYGgoiIiIiIrMYG\ngoiIiIiIrMYGgoiIiIiIrMYGgoiIiIiIrMYGgoiIiIiIrMYGgoiIiIiIrOb2DYTBYMCmTZtw//33\nIycnB7m5uXjttdeg0WikDm3YOjs7sX79etxzzz2YMGECpk+fjieffBJFRUVSh+ZQRqMRDzzwAF56\n6SWpQ7FbW1sb1qxZg9zcXOTk5GD+/PnYtm2b1GE51PHjx5GVlYUDBw5IHYrDnD17Fs899xxuvvlm\nTJgwAbm5uXj11VfR0dEhdWjDVlVVheeffx633347Jk+ejAULFuC///2v1GE5DWuD+2NtcA+sDe7F\nUbVBMQKxOdWKFSvw6aef4v7778fixYtx9uxZ5OXl4bvvvsP7778PX19fqUO021NPPYUDBw5gzpw5\nWLJkCZqbm/Hvf/8bCxcuxKZNm3DLLbdIHeKwmc1mrFixAiUlJRg7dqzU4dhFr9dj6dKlOHfuHBYu\nXIjU1FTs3r0bq1evRnNzM5YvXy51iMNWWVmJp59+GqIoSh2Kw1RUVOAnP/kJfH198cgjjyAuLg7H\njh3Dli1b8N133+E///kPVCqV1GHapba2Fj/+8Y8hiiIee+wxhIeHY/fu3XjxxRdRW1vrEZ/J62Ft\ncG+sDe6BtcG9OLQ2iG5s//79YkZGhrhmzZp+299++20xMzNT3Lp1q0SRDV9+fr6YkZEh/uUvf+m3\nva6uTpw2bZp47733ShSZ49TU1IiPPvqomJmZKWZmZoorVqyQOiS7vPnmm2JmZqZYUFDQb/vSpUvF\niRMnivX19RJF5hifffaZOH369N7z9O2330odkkMsWbJEnDhxolheXt5v+7/+9S8xIyNDfPPNNyWK\nbPief/55cdy4ceKJEyd6t5lMJvHBBx8Uc3JyRLVaLWF0I4+1wb2xNrgH1gb348ja4NZDmJqampCV\nlYWf/vSn/bbPmDEDoiji1KlTEkU2fPv374cgCFiwYEG/7bGxsZg+fToqKyvR3NwsUXTDt2PHDtx3\n330oLi7Gz372M7e+erFz505ERUVhzpw5/bYvW7YMBoMBH3/8sUSRDd/y5cvx7LPPIjo6Gvfff7/U\n4TiMwWDAkSNHcMMNNyA1NbXfvgceeAAAcPjwYSlCcwi5XI7c3FxMnDixd5tMJsONN96Irq4ulJWV\nSRjdyGNtYG1wBawN7oe1wfra4NZDmObNm4d58+YN2G4pDomJic4OyWFWrVqFRYsWISYmZsA+S3GQ\nydy3/ystLUVubi6ef/55yGQy/O1vf5M6JLtoNBqUl5dj9uzZA/ZlZ2cDAE6cOOHssBymsrISL7zw\nAh5//HG8+eabUofjMD4+Pti1a9egX06ampoA9PyhdVfr1q0bdPvp06chCALi4uKcHJFzsTawNkiN\ntcE9sTZYXxvcuoHoy2g0oq6uDvv27cOf/vQnJCcnD7hC405CQ0MRGho6YPvhw4dRVFSEsWPHIiws\nTILIHOP555+Hj48PAKCmpkbiaOzX0NAAURQRGxs7YF9gYCACAgJQXV0tQWSOUVBQ0HuePIkgCEN+\nidy0aRMEQcBNN93k5KhGhkajQUVFBd59910cOnQICxcuHPTLp6dibXAvrA3ugbXB/Q23NrhkA7Fh\nwwao1eprvuahhx5CZmZm73/v3bsXzz77LARBgJ+fH37zm98M+kdWavbkZlFXV4cVK1ZAEAT8z//8\nz0iFaDdbcvOUPzyWFRkCAgIG3a9SqaDT6ZwZkkN5ynmy1kcffYTt27cjPj7erb9k9rVixQrs3bsX\ngiAgJycHTz31lNQh2Y21gbXBXbA2eBbWhoFcsoH46KOPUFdXd83XTJo0qd8f0rS0NGzYsAGtra34\n5z//iSeffBK/+c1vBoyBlZo9uQE9y24tWbIEDQ0NeOKJJ5CbmzuSYdrF3tzc2fXG54qi6Na3O73J\nhx9+iN/+9rcICAjAX//6V/j7+0sdkkMsWLAAP/7xj3Hy5Em8/fbbmD9/PrZs2YKkpCSpQ7MZawNr\ng7tgbfAcrA2Dc8kGYs+ePTYfk56ejvT0dADAfffdh3nz5uGPf/wj5s6di8DAQEeHaDd7cjt+/Dh+\n8YtfoLW1FUuWLMELL7wwApENnz25uTvL1SW9Xj/ofr1e75Zf1LzNX/7yF7zxxhsIDg7G3/72N4wf\nP17qkBxm1qxZAIDc3FyMHz8ezzzzDDZs2IDXXntN4shsx9rQH2uD62Jt8AysDUNz35lW1xAYGIjc\n3Fzo9XqUl5dLHc6wfP7551i0aBHa2tqwYsUKt36gjidKTEyEIAior68fsE+j0UCn0w06BpZcg9Fo\nxMqVK/HGG28gNjYW7777LqZMmSJ1WCPmzjvvRGBgIIqLi6UORRKsDeQsrA3ujbXh+ty6gVi9ejVm\nzJgx6JMBtVotALjtwz4A4JNPPsEvf/lLAMCf/vQnLF26VOKI6Gr+/v5IT08f9B+d5amwnvxHx52Z\nzWb86le/ws6dO5GRkYH333/fbR9Y1VdzczPuuecevPjiiwP2dXd3o6urC35+fhJE5jysDSQ11gb3\nxdpgHbduIEaNGoWWlha88847/bZXVlbik08+QUpKCsaMGSNNcMNUWlqKlStXwsfHB3//+99x7733\nSh0SDWHevHmoq6vDrl27ereJoojNmzdDqVQOWAOcXMP69etRWFiISZMmYcuWLR6zMlFERARkMhk+\n//zzAWt6v/XWW+ju7sbdd98tUXTOwdpAroC1wT2xNljHJedAWGvRokX45JNP8H//93+orq7GlClT\nUF1dja1bt0Imk7nlGF+LtWvXoqurCzNnzkR9fT3y8/MHvOauu+5y66tonmLx4sXIz8/HqlWrUFxc\njNTUVBQUFODgwYNYuXIlIiMjpQ6RrlJdXY23334bMpkMd95556BjtCMiIjBjxgwJohu+//3f/8WT\nTz6Jxx57DI888gjCw8Px3Xff4bPPPsO0adOwZMkSqUMcUawNrA2ugLXB/bA2WF8b3LqB8PPzw5Yt\nW7Bx40bs3r0bBQUFCAkJwaxZs/DUU08hJSVF6hDt0tnZiUOHDkEQBHz11Vf46quvBn3d5MmTPWYS\nliAIEARB6jDsolQqkZeXh/Xr1yM/Px9arRapqalYt24d5s6dK3V4NIh9+/bBZDIBAF5//fVBXzNl\nyhS3LRLTp0/H1q1bsWHDBvzrX/9CZ2cnkpKS8Ktf/QpLly71+CUYWRtYG1wBa4P7YW2wvjYIojs/\nJ56IiIiIiJzKredAEBERERGRc7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GB\nICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIi\nIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIi\nq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiq7GBICIiIiIiqymk\nDoDI3e3duxfbt29HcXExLl26hICAAEyYMAE//elPMXv2bKnDIyIiJ9qwYQM2bNjQb5tMJoOfnx8S\nEhIwc+ZMLFu2DKGhoRJFSDR8bCCI7KTVavHyyy/js88+Q1ZWFn70ox8hOjoa9fX12LlzJ55++mks\nXrwYL7/8stShEhGREwmCgAULFmDatGkAAJPJhI6ODhQVFeGtt97C9u3b8d577yE5OVniSInswwaC\nyE6rV69GYWEhXnzxRTzxxBP99v3sZz/D8uXL8c9//hOjRo3CI488IlGUREQkhcmTJ2Pu3Ln9tj32\n2GN46KGHsHz5cvzsZz9DQUEBZDKOJif3w08tkR2++eYbfPLJJ7j77rsHNA8A4OPjg7Vr10KhUGDL\nli0SREhERK5oxowZePzxx1FZWYn8/HypwyGyCxsIIjvs2LEDgiDgscceG/I1cXFxyM/PZ4EgIqJ+\nfvSjH0EURXzxxRdSh0JkFw5hIrLDyZMnIZfLkZOTc83XpaWlOSkiIiJyF6mpqfDz88OpU6ekDoXI\nLrwDQWSHxsZGhIaGwsfHR+pQiIjIDYWEhKClpUXqMIjswgaCyA5yuRxms1nqMIiIyE11d3dDEASp\nwyCyCxsIIjvExMSgvb0d3d3dUodCRERuxmQyQa1WIzw8XOpQiOzCBoLIDjfccAPMZjOOHTt2zdf9\n5je/wQsvvID6+nonRUZERK7uzJkzMBqNmDBhgtShENmFDQSRHX7wgx9AFEW8++67Q76msbER27dv\nxzfffMOrTERE1Gvnzp0QBAH33nuv1KEQ2YUNBJEdpk2bhrvuuguFhYX4xz/+MWC/RqPBc889B6PR\niKeffhq+vr4SRElERK7m0KFD+Pe//43Ro0fjnnvukTocIrtwGVciO61duxbt7e14/fXXsWvXLtxz\nzz0IDw9HRUUFdu7ciZaWFjz88MNYtGiR1KESEZETiaKIo0eP9j5l2mw2Q61Wo6ioCJ999hkiIyOx\nYcMGPoWa3JYgiqIodRBE7spoNKKgoAA7duxAZWUlmpqaEBgYiJycHDz66KO47bbbpA6RiIicaMOG\nDdi4cWO/bYIgwN/fH6NGjcLMmTOxaNEihISESBQh0fCxgSAiIiIiIqvx3hkREREREVmNDQQRERER\nEVmNDQQREREREVmNDQQREREREVmNDQQREREREVmNDQQREREREVnNrR8kJ4oiWlq0MJs9ayVamUxA\neHgAc3MzzM19eXJ+MpmAiIhAqcNwKtYG98Pc3JMn5wZ4dn7DrQ1ufQdCEATIZILUYTicTCYwNzfE\n3NyXJ+fniTldjyefS+bmfpib+/Lk/Iabk1s3EERERERE5FxsIIiIiIiIyGpsIIiIiIiIyGrDaiCO\nHz+OrKwsHDhwwOpjtm/fjgcffBCTJ0/GrbfeildeeQVqtXo4YRARkQthbSAi8mx2NxCVlZV4+umn\nIYrWz0p/88038fLLLyM8PBwrVqzAvHnz8MEHH2Dx4sUwGAz2hkJERC6CtYGIyPPZtYxrYWEhfv3r\nX9t0daihoQEbNmzAHXfcgTfffLN3e2ZmJl566SXk5eVh2bJl9oRDREQugLWBiMg72HwHYvny5Xj2\n2WcRHR2N+++/3+rj8vPzYTQasWjRon7b582bh5iYGHz00Ue2hkJuxGQ243BJIzbln8LGD49j14EL\n0Oi7pQ6LiByEtYGIyHvY3EBUVlbihRdewEcffYSUlBSrjztx4gQAICcnZ8C+7OxslJeXQ6PR2BoO\nuYGLDR1Yvekg/m9HMfTfHkPO+1twdsfXWP3373DwdIPU4RGRA7A2EBF5D5uHMBUUFMDHx8fmX1Rf\nXw9/f38EBg586l1MTAwAoKamBhkZGTa/N7muijo1/vR+EbSdRqibymBq2IsvZAYYNGdQqZmKv2k6\nYegej9ty4qUOlYiGgbWBiMh72NxA2FMgAKCjowP+/v6D7lOpVAAAvV5v13uTa2pRd+L1rUXQdnaj\nue57hMd1IkwZDJnBAJXCB75+HWis/hpvF4gIC1ZiQmqE1CETkZ1YG4iIvIfTngNxrRU5LPtkMj6W\nwlOIooi3d5dA12VEa0MxYpIMyL0xrffR6b4KGUYnR8A/zgcNNd/izZ2nOCeCyAuxNhARuR+7VmGy\nR0BAAFpaWgbd19nZCQAICgqy+X3lcs8rLJac3Dm3vUdrcKqiBTp1A3wDLuH2aePg4yODqc9rskdH\nQtdlRHV3K6ouFGH7vhgsmTNOspiHyxPO21A8OTfAs/Nz9ZxYG6znDZ9T5uZePDk3wLPzG25OTmsg\nEhMTcebMGeh0ugG3q+vr6yGTyXrHu9oiOFjlqBBdjrvmpu8yYttXZRDNJnS0n8QP5mYgOMgPAKAV\nBIgABEGAv8oXN02MQ0F7J9rUNfjs21L84LZ0jE0OkzaBYXLX82YNT84N8Pz8XBFrg+2Ym3tibu7L\n0/Ozh9MaiJycHBQWFuLEiRO46aab+u07ceIExowZM+Q42GtRq/UwmcyOCtMlyOUyBAer3Da3j/dX\nQq01oP1SCdIyQxAW6At9Z8/DoCxDEkRRhL7TAAFA5qgwnDCa0FpXhLc/TsZLj0yRMHr7uft5uxZP\nzg3w7Pwsubkq1gbrecPnlLm5F0/ODfDs/IZbG5zWQNx3331Yv349Nm/e3K9I7NixA42NjXjiiSfs\nel+TyQyj0bNOqoU75qbvMmLXgUqYTUZ0mWowccw4mM2Dj3G2bE+JDUJ5bTs6Va04fOIszt+ehpTY\nYCdG7VjueN6s5cm5AZ6fnytibbAdc3NPzM19eXp+9hiRBqKqqgrHjh1DcnIyJk2aBACIj4/Hz3/+\nc2zcuBFLly7Ffffdh/Lycrz77rvIycnBww8/PBKhkJN9WVQDbacRbZfOYExGBAL9r78yi0wmYHRC\nKDT6bnTUlWDXgXF46sGJToiWiJyJtYGIyDOMyKyQI0eOYOXKlXj//ff7bX/mmWfwu9/9DpcuXcKa\nNWvw6aef4uGHH8Y//vEP+Pr6jkQo5ERms4i9R2sgmk3oNtYja3S01ccmxwTCz1cBmZ8W3x47j4ZW\n3QhGSkRSYG0gIvIMgnitNfTcQGur1uNuKykUMoSFBbhdbifKmvDafz5E06UvEB2dhPtumTbgNWLh\nPqCzC/BTQrjrtn77zlW14UTFObTVl+G+mYvx4o9+6KzQHcJdz5s1PDk3wLPzs+TmbTz5XDI398Lc\n3Jcn5zfc2uB561KRZPYcrYHOfAAGQyMM8nqbj0+OCYJRqIEoqLG/ZCeMHjZhiYiIiMgTsIEgh2hR\nd+JkWTNEdEMQBKDfEx+so/SVQyaYIfeVw9jdiRNlzY4PlIiIiIiGhQ0EOcTB0w1wxFi4vg82+fp4\nrQPekYiIiIgciQ0EOcSBUw0OeR+5TOj9ubi8BWqdwSHvS0RERESOwQaChq36kgbVlzQAALlcuM6r\nrWcWRRwtveSw9yMiIiKi4WMDQcN28PSVuw++CrlD3/vQGcfc2SAiIiIix2ADQcMiiiIOn2kEAMgE\nAb4+jvlICZeHMpVWtaFd0+WQ9yQiIiKi4WMDQcNSc0mLxjY9ACAjORQywTFDmHwVPe8jisARDmMi\nIiIichlsIGhYjp678uV+ytgoh71v36FQR8+ygSAiIiJyFWwgaFj6frmfPCbSYe8rlwmIDPEDAJyt\naoOu0+iw9yYiIiIi+7GBILs1tetxsaFn9aWU2CCEB/s59P0nXW5ITGYRxRV8qBwRERGRK2ADQXYr\nOtfU+/NkBw5fspg0+sodjb6/i4iIiIikwwaC7FZc0dL7c98v+44yNikUKqUCAHCirBlGk9nhv4OI\niIiIbMMGguzSbTSj5GIrACAk0BeJUQEO/x0KuQwT08IBALouI85Xtzv8dxARERGRbexqINra2rBm\nzRrk5uYiJycH8+fPx7Zt26w6VqvVYu3atcjNzcWECRNwxx134Pe//z00Go09oZBEzle3wdDdc0dg\nQko4BAct33q17PSI3p9PVbZc45VEJDXWBiIi76Cw9QC9Xo+lS5fi3LlzWLhwIVJTU7F7926sXr0a\nzc3NWL58+ZDHmkwmPP744yguLsacOXMwffp0nDp1Cu+99x6OHj2KrVu3wtfXd1gJkXP0Hb40/vJd\ngpGQlXLlvU9XtuCHd6SP2O8iIvuxNhAReQ+bG4i8vDycOXMGr7/+OubMmQMAWLBgAZYtW4YNGzZg\n/vz5iImJGfTYzz//HCdPnsSCBQvwyiuv9G6Pjo7Gxo0bsWPHDixYsMDOVMiZLA2EAGB8ysg1EKGB\nSiREBaDmkhaVdR3Q6LsRqPIZsd9HRPZhbSAi8h42D2HauXMnoqKieguExbJly2AwGPDxxx8PeeyF\nCxcgCAJmzpzZb/vs2bMhiiJOnz5tazgkgXZNF6oae4YVJMcGIch/ZK8MWhoUEUDJhdYR/V1EZB/W\nBiIi72FTA6HRaFBeXo7s7OwB+yzbTpw4MeTxaWlpEEUR58+f77e9oqICABAXF2dLOCSRvnMRJqSO\n3N0Hi/F9fkffoVNE5BpYG4iIvItNQ5gaGhogiiJiY2MH7AsMDERAQACqq6uHPH727Nm4++67sWnT\nJkRHR2P69OkoKSnBH/7wB8TFxeFHP/qR7RmQ0/X9Eu+MBmJsUigUcgFGk4jTlS0QRXHEJm0Tke1Y\nG4iIvItNDURHRwcAICBg8CU7VSoVdDrdkMcLgoCnnnoKZWVlWLVqVe/2qKgovPXWW4iIiBjyI5Ji\nDgAAIABJREFUWHINZlHEqcsNhNJXjvSEkBH/nUofOUYnhKDkYhua2jvR2KZHTJj/iP9eIrIOawMR\nkXexaQiTKIrX3S+Xy4fcf/DgQSxYsAD19fV49tln8cYbb+D//b//B4VCgYcffhhHjx61JRySQFWD\nBh26bgDAuOQwKOTOeZRI32FMpzmMicilsDYQEXkXm+5AWK4u6fX6Qffr9XokJSUNefz69ethNBrx\n9ttvY+rUqb3b58yZg3nz5uHFF19EYWHhNQvN1eRO+gLrTJacXDG3030mMWePjoBCMXSMMtnAYUam\n6+zvq+97Z4+OxLavyntjuGt6spURO48rn7fh8uTcAM/Ozxk5sTY4hzd8Tpmbe/Hk3ADPzm+4OdnU\nQCQmJkIQBNTX1w/Yp9FooNPpBh0Da1FaWoqUlJR+BQIAIiMjMXv2bHz44YcoKyvD2LFjrY4pOFhl\nfQJuxhVzK61q6/351slJCAvrP2TB0hQIAqDyG7g6k1YQIKJnyMJg+y1TG2Qyod97h4T4I8jfFx06\nA85caEVwsMpl/0G74nlzFE/ODfD8/EYKa4NzMTf3xNzcl6fnZw+bGgh/f3+kp6ejuLh4wL6ioiIA\nwJQpU4Y8XqlUwmQyDbrPst1sNtsSEtRqPUwm245xdXK5DMHBKpfLrdtoxpnLKzBFhvjBTw60tmr7\nvcZs7hnKIIqAvtMw4D0sQx1EURxi/5X3ufq9x6WE4dDpBug6jfj+dB3GJIYOOydHctXz5gienBvg\n2flZchtJrA3O4Q2fU+bmXjw5N8Cz8xtubbD5QXLz5s3D+vXrsWvXrt71vkVRxObNm6FUKgesAd7X\nzJkzsXPnTuzZswe5ubm922tra/H5558jJiYGGRkZNsVjMplhNHrWSbVwtdzOVbWh+3I8GUmh143N\n0kzYu//q988a1dNAAMDJ881IjQ2+XsiScLXz5kienBvg+fmNJNYG52Fu7om5uS9Pz88eNjcQixcv\nRn5+PlatWoXi4mKkpqaioKAABw8exMqVKxEZGQmg55Z0aWkpMjIyev/wv/DCCzh06BB++ctf4qGH\nHsKECRNQU1ODrVu3Qq/X409/+hOX53RhZ/sMXxqb5Pyr/1kpYb0/l1xsxTykOj0GIhocawMRkfew\nuYFQKpXIy8vD+vXrkZ+fD61Wi9TUVKxbtw5z587tfV1hYSE2btyIp59+urdIREVFYdu2bdi4cSP2\n7NmDbdu2ITAwENOnT8fPf/5zZGVlOS4zcri+8x8ykp3fQESGqBAR7IdmdSfKatXoNprhc41J3ETk\nPKwNRETeQxCvt/6ei2tt1XrcbSWFQoawsACXys1kNuOZ9fvQ1W1CaKAvXn96xqBXBJf8ZQkunKtA\nVHIM5t84f8B+sXAf0NkF+Ckh3HXbgP07D+5ES30TYmPjkLfi3QH7//Hf0/i2uGei5qpHp0hyJ2Qo\nrnjeHMWTcwM8Oz9Lbt7Gk88lc3MvzM19eXJ+w60NvHxLVrnYoEFXd89kxrFJoZINJ+h756P0Yus1\nXklEREREI4ENBFml9GLf4Uth13jlyOr7u/sOqSIiIiIi52ADQVaRegK1RVSIH8KClACA8zXtMHrY\nsmpEREREro4NBF2X2Sz2NhCBKh/ER/hLFosgCL3DmAzdZlTWdUgWCxEREZE3YgNB11V9SQNdlxFA\nz/MfpF5OMbPfMCbOgyAiIiJyJjYQdF2lLjJ8ySIjqe9Eas6DICIiInImNhB0XWclfv7D1aLDVAgJ\n9AUAnOM8CCIiIiKnYgNB1ySKV+Y/qJQKJEYFShzR5XkQl+9CdBlMuNDAeRBEREREzsIGgq6prlmH\nDl03AGBsYghkMmnnP1j0nQdxlsOYiIiIiJyGDQRdU7/lW11g+JJFvwfK8XkQRERERE7DBoKuydUm\nUFvEhvsjOKBnHsTZqjaYzaLEERERERF5BzYQNKS+8x+UPnKMigmSOKIrBEHobWg6DSZUNWokjoiI\niIjIO7CBoCFdatOjtaMLADA6IRgKuWt9XPou53qWw5iIiIiInMKub4RtbW1Ys2YNcnNzkZOTg/nz\n52Pbtm1WH79v3z489thjmDp1Km688UYsW7YMJ0+etCcUGkH9hi/1mbTsKsaygSByKawNRETeweYG\nQq/XY+nSpfjPf/6De+65B6tXr0Z4eDhWr16NTZs2Xff4Dz74AMuXL0dHRweef/55LFu2DKWlpVi4\ncCFOnTplVxI0Mvo9/8GF5j9YJEQFwF+pANDT7Igi50EQSYW1gYjIeyhsPSAvLw9nzpzB66+/jjlz\n5gAAFixYgGXLlmHDhg2YP38+YmJiBj22oaEBa9euxcSJE5GXlwelUgkAuPfeezFnzhz8+c9/tqrQ\nkHNYnvKskMuQGuc68x8sZIKAMYkhOF7WDI2+G3XNOsRHBkgdFpFXYm0gIvIeNt+B2LlzJ6KionoL\nhMWyZctgMBjw8ccfD3ns9u3b0dnZiZdeeqm3QABAcnIyXn75Zdxyyy22hkMjpEXdiab2TgBAenww\nfBRyiSMaXN+lZTmMiUg6rA1ERN7DpjsQGo0G5eXlmD179oB92dnZAIATJ04MefyhQ4cQEBCAqVOn\nAgBMJhO6u7vh5+eHRx991JZQaIS56vKtV7t6HsTMyQkSRkPknVgbiIi8i013IBoaGiCKImJjYwfs\nCwwMREBAAKqrq4c8vqysDHFxcTh79iyWLl2K7OxsTJo0CXPnzsVXX31le/Q0YvrNf3ChB8hdbVRM\nEHx9ej7GnAdBJA3WBiIi72JTA9HR0QEACAgYfJy5SqWCTqcb8ni1Wo329nY8+uijiIqKwvr16/G7\n3/0OOp0Ov/jFL/DFF1/YEg6NIMv8B7lMQHp8iMTRDE0hl2F0Qk98rR1dvcOuiMh5WBuIiLyLTUOY\nrnd1VxRFyOVDj5U3GAy4dOkSHn/8caxcubJ3++zZs3Hvvffi1VdfHfQWODlXu9aA+paeYp8SGwSl\nr2vOf7AYmxSK05WtAHrunESFqiSOiMi7sDYQEXkXmxoIy9UlvV4/6H69Xo+kpKQhj1epVNBqtXjk\nkUf6bY+KisKsWbNQUFCA8vJypKWlWR2T3MUebuYIlpykyq2str3358yUMCgU9sUhkwkDtpmus78v\na39vVko4duyrAACcr2nHHRLNg5D6vI0kT84N8Oz8nJETa4NzeMPnlLm5F0/ODfDs/Iabk00NRGJi\nIgRBQH19/YB9Go0GOp1u0DGwFnFxcTh//jwiIyMH7LNs02g0toSE4GDPvdosVW6V9VfOwbSsOISF\nWb80qqUpEARA5ec7YL9WECACEARh0P2CcOV9rP29UwL9oJDLYDSZca663aZ4RwI/k+7L0/MbKawN\nzsXc3BNzc1+enp89bGog/P39kZ6ejuLi4gH7ioqKAABTpkwZ8vicnBycP38epaWlmDRpUr99lZWV\nEAQBCQm2XT1Wq/Uwmcw2HePq5HIZgoNVkuV2/NwlAD1f5uNC/dDaqrX6WLO5ZyiDKAL6TsOA/Zah\nDqIoDrH/yvvY8nvT4oNxtqoNtU1aVFxsQWiQ8voHOZjU520keXJugGfnZ8ltJLE2OIc3fE6Zm3vx\n5NwAz85vuLXB5gfJzZs3D+vXr8euXbt61/sWRRGbN2+GUqkcsAZ4Xw899BA+/PBDbNiwAZs2bYJM\n1nP7pKSkBN988w1uuukmRERE2BSPyWSG0ehZJ9VCitw0+m5UN/Zc6UuODoKvQmZ3DJZmwt79tvze\nMYkhvStHna5swfRxgz+wyhn4mXRfnp7fSGJtcB7m5p6Ym/vy9PzsYXMDsXjxYuTn52PVqlUoLi5G\namoqCgoKcPDgQaxcubL3dnNpaSlKS0uRkZGBjIwMAD1XoJYsWYJ33nkHjzzyCObNm4fm5mbk5eUh\nICAAv/71rx2bHdnsXHUbLF/rXfn5D1cbmxSKggMXAPRMpJaygSDyRqwNRETew+YGQqlUIi8vD+vX\nr0d+fj60Wi1SU1Oxbt06zJ07t/d1hYWF2LhxI55++uneIgEAK1euRGZmJt59912sW7cOKpUKt912\nG5577jmMGjXKMVmR3SzLtwKu/fyHq41OCIEg9AyB4hOpiZyPtYGIyHsIops/eau1Vetxt5UUChnC\nwgIkye2Vdw6jsr5nTfc/P3crgvwHTnS+liV/WYIL5yoQlRyD+TfOH7BfLNwHdHYBfkoId902YP/O\ngzvRUt+E2Ng45K1416bf/b/vHMaF+g4IAP78y9sQqPKx6fjhkvK8jTRPzg3w7PwsuXkbTz6XzM29\nMDf35cn5Dbc2eN66VGQ3fZcRFxp6moeEqACbmwepZVweciUCOF/dfu0XExEREZFd2EBQr3PV7b2r\nILnT/AeLvjFzGBMRERHRyGADQb1Kq1p7f85MDpMwEvuMSQzp/bmUDQQRERHRiGADQb36TqB2xzsQ\nQf6+SIjsGc93ob4DnQajxBEREREReR42EAQA6DQYUVnXM/8hLsIfIQHuNf/BwtL4mEURZTVqiaMh\nIiIi8jxsIAhAz6Rj8+UJEBluOHzJou+dEw5jIiIiInI8NhAEoP+X7Uw3ev7D1fo2EOfYQBARERE5\nHBsIAgCUXLwygTrDDec/WIQFKREdqgIAlNWq0e1h6zYTERERSY0NBKHLYOqd/xAT7o+QQKXEEQ3P\nmKSe1ZiMJjMq6jgPgoiIiMiR2EAQzte0w2Tumf/gzsOXLDgPgoiIiGjksIGgfs9/cOfhSxZ9J4GX\nXGi9xiuJiIiIyFZsIAglfZ7/4M4rMFlEhfghItgPQM/dlW6jSeKIiIiIiDwHGwgv19VtQkVtzzyB\n6DAVwoLce/4DAAiCgHEpPY1Qt9GM83weBBEREZHDsIHwcmUeNv/BYtyoK3dSzlxokTASIiIiIs9i\nVwPR1taGNWvWIDc3Fzk5OZg/fz62bdtmVwCvv/46MjMzceDAAbuOp+Hpv3yr+w9fsujfQHAeBJEz\nsDYQEXkHha0H6PV6LF26FOfOncPChQuRmpqK3bt3Y/Xq1Whubsby5cutfq9Dhw7hrbfegiAItoZB\nDnKq4sqXa8uwH08QGqhEXIQ/6pp1qKjtgL7LCJXS5o87EVmJtYGIyHvYfAciLy8PZ86cwWuvvYaV\nK1diwYIFePvttzFjxgxs2LABDQ0NVr1PR0cHVq1aBR8fH5uDJsfQdnajsr5nfkBCZABC3fz5D1fL\nGhUOADCLIs5yOVeiEcXaQETkPWxuIHbu3ImoqCjMmTOn3/Zly5bBYDDg448/tup9fvvb30IURTz8\n8MO2hkAOUnKhFWLP9AdkpYRLG8wIyOQwJiKnYW0gIvIeNjUQGo0G5eXlyM7OHrDPsu3EiRPXfZ8d\nO3bgk08+wR/+8AcEBQXZEgI50OnKK1+qszxo+JJF5qhQWAZAsIEgGjmsDURE3sWmBqKhoQGiKCI2\nNnbAvsDAQAQEBKC6uvqa71FVVYXf//73WLx4MW688UbboiWHOlXZszqRXCYgw4NWYLII8PNBcmzP\nl5CqRg3UOoPEERF5JtYGIiLvYlMD0dHRAQAICAgYdL9KpYJOpxvyeLPZjJdeegnx8fH41a9+Zcuv\nJgdratOjsVUPAEiPD4afr2dOMO67GlPpRc6DIBoJrA1ERN7FpgZCtAyYv8Z+uVw+5P433ngDp06d\nwh//+Ef4+vra8qvJwU73GdKTlep58x8ssvrOg6jk8yCIRgJrAxGRd7HpsrPl6pJerx90v16vR1JS\n0qD7jh8/jr/97W9YunQpoqOj0dra8wXWclVKq9WitbUVoaGhNi3dJ5d73rPwLDmNZG595wRMTI+A\nQuH43yWTDTyPpuvs78sRMY1LCYdcJsBkFnH6QuuI5GnhjPMmFU/ODfDs/JyRE2uDc3jD55S5uRdP\nzg3w7PyGm5NNDURiYiIEQUB9ff2AfRqNBjqdbtAxsACwb98+mEwm/P3vf8emTZv67RMEAc888wwE\nQcAXX3yB+Ph4q2MKDlbZkoJbGanczGaxt4Hw91Ngalacw/5xWJoCQQBUfgOvJGoFASJ6zvlg+y3f\nD2QyAWFhgw+HsNW41HAUlzWjsVUPvVFEfFSgQ953KPxMui9Pz2+ksDY4F3NzT8zNfXl6fvawqYHw\n9/dHeno6iouLB+wrKioCAEyZMmXQYx944AFMnTp1wPYdO3YgPz8fL730EsaNG4fIyEhbQoJarYfJ\nZLbpGFcnl8sQHKwasdwq69VQa3smFGcmh0GtHvyqoT3M5p6hDKII6DsHTlq2DHUQRXGI/Vfep7VV\n65CYxo8KQ3FZMwBg39Eq3D092SHve7WRPm9S8uTcAM/Oz5LbSGJtcA5v+JwyN/fiybkBnp3fcGuD\nzTNn582bh/Xr12PXrl29632LoojNmzdDqVQOWAPcIjExEYmJiQO2f//99wCAcePG4eabb7Y1HJhM\nZhiNnnVSLUYqt5OXv0wDPZOMR+r/n6WZsHe/o+Ia3+cZF0Xnm5A7ZeDn0JH4mXRfnp7fSGJtcB7m\n5p6Ym/vy9PzsYXMDsXjxYuTn52PVqlUoLi5GamoqCgoKcPDgQaxcubL3KlFpaSlKS0uRkZGBjIwM\nhwdO9jtVcWUysSc+/+FqCVEBCAtSorWjCyUX2tDVbYLSZ+gJnURkO9YGIiLvYfPAd6VSiby8PDzw\nwAPIz8/H2rVroVarsW7dOjz++OO9ryssLMTKlStRWFjoyHhpmPRdxt7lTCOC/RAb7i9xRCNPEARM\nTIsAABhNZpRe5EPliByNtYGIyHsI4vXW33Nxra1aj7utpFDIEBYWMCK5HSlpxBs7esYpz56SiEfv\nHuvQ91/ylyW4cK4CUckxmH/j/AH7xcJ9QGcX4KeEcNdtA/bvPLgTLfVNiI2NQ96Kdx0W1/ell7Bx\n+0kAQO6UBCy82/FXPkfyvEnNk3MDPDs/S27expPPJXNzL8zNfXlyfsOtDZ63LhVd0/HzTb0/54yJ\nkDAS58pKCYP88gpRJ8ubr7tuPRERERENzjMfP0yDMptFHL88gVrpK0dGkufPf7BQKRUYkxiCkott\nuNTWifoWHeIivO+qLBGRM5nMZnTouqHWGqDWGtCuNaBD1w1DtwkGoxkGowndRjNMZhEqPx+YjCbI\nBAFyuQCFXIYAPx8EqnwQ6O+DIH8fBKl8EBbkB58RfKYPEV0fGwgvUl6nhkbfDQCYkBLudX+As9Mj\nUXJ5/sfJ8hY2EEREDtKm6cLFBg0aWnRoaNWhoVWPhhYdmtWdsOaG71RNPe5oq8Anoan4PnDwZ4ZY\nCADCgpWIClEhMtQPUaEqJEQGIjkmEJEhfjY9cJCI7MMGwov0Hb6UPdp7hi9ZTEwLx3/29vx8srwZ\nd98w+JNxiYhoaGqdAWXV7ais78CFhg5cqO9Au7b/c31EUYTRoINB345ugxomkw4ijBBhBGACYIII\nMyCKEGFGV/sFfGHuRlfHKTSEJEOA7PKTRWUQIAeggAA5BCggE5ToaAlBvSoEPsoACLIrq+qplHIk\nRQUiKSYI6fHBGJMYiogQP2f+7yHyCmwgvEjR5QZCAJCTbttDmTxBfGQAwoOVaFF3ofRiK7oMJih9\nuZwrEdG1tGm6UHqxDaVVbThb1YbapisP+RRFEcYuLfSaBnQb2mAWuiCiE6LYDaW/gOBgFaKC/eGv\nUkLpq4LSRw6ljxwKuQC5TIBMJoNcJiDo21YIXQb4K30x5+YMmM0izKIIQ3fPMCdDtxmGbhO6uk3Q\naPVoVzdDre2Cqc0MAT6A6AsZ/KBQBKG1JQalVSH4Qui5yx4WpMSYxBCMSQxFVkoYYsP9eZeCaJjY\nQHiJpjY9ai71/NFPiw9GcICvxBE5nyAIyE6LwJdFtTCaRBRXtGBqRpTUYRERuRSjyYyymnacKG/G\nybJmVF+60jCYTUboOxrQqauHCTqIoh7KQAFR8UGICA9CcEAIAlUKBPj59Dxvx8rv6eLlL/SCICAs\nSGldnEYztJ1GaDu70a41QK0xoKW9BerWi2hvFyHADzL4o0MZiaaWeBw60wigZwnziWnhGJ8agayU\nMKiU/CpEZCv+q/ESx/s8fTp7tPfdfbCYNCYKXxbVAgCOnr3EBoKICD3PCDpR1oyjZy+huKIF+i4j\nAEA0m6DraESntgYmaCHI9IiMCUB6ZjgigkMREqiEv1JhdaPgSAqFDCGBvggJ9EV85JU5bYZuM9o1\nXWhWd6K5vROXmi6iuaUUoskXcgSgozkGjS0J+LKoFnKZgIzkUEwdG4XJY6MQGmhd80Lk7dhAeIm+\n8x8meXEDMW5UGPx85eg0mHD8fBOMJjMUcu+aTE5EBAC6TiOOn2/CkdJGnCxvgdHUs8690aCHprUC\n3aZWiNAiMlaFMZkRiAyNQHiw0uX/Zvr6yBAVpkJUmAoAIIqxaNca0NTWicY2PRoaK9HcVAqY/aAQ\nQqDTpOJ0ZSve/ews0hNCMGVsFKaPi0Z4MOdOEA2FDYQX0HcZUXL56cvhwUokRnnv6kM+ChlyRkfi\n4OkG6LqMKK1qw/iUcKnDIiJyCqPJjJNlzfi2uB7Hy5pgNPUskWTQd0DTVgaj2AZfPwOSxkQiIToG\nUWE98xbcmSAICA1UIjRQidGJITCZYtDUrkdjqx61TRq0XjqItjY55AiGriMF56rb8MHe88hIDsXN\n42MxNSMa/n78ukTUF/9FeIGeK+09RWLS6Eivnzw2ZWwUDp5uANAzjIkNBBF5MlEUUVnfgW9P1uPg\nmYbe5bwNnRpoWs/DaG6FKtCIsRNjkBidgogQpUfXCblcQEy4P2LC/TExLQLtWgPqmrWobdKiqaEI\n6joBcoRA15GKMxdakffZWUwaE4lbxsdiQlq4y9+BIXIGNhBe4HBJY+/PN2RGSxiJa5h4uQAYTWYc\nLb2ER+8cC5nMc4slEXmndq0B+0/WYf/JOtQ16wAAJqMBHc3nYTBegjLAgIyJMUiMSUV4sB88uGcY\nmoDeeRSZo8Kg0ceg5pIWVY0daG44CnWtHApZOL7VjMGRkkYEqnwwY2Isbs+J57OEyKuxgfBw+i4j\nTpa3AABCAnwxJjFU4oik5+erwMS0cBw714R2rQFnq9qQOcp7nspNRJ5LFEWUXmzDl0U1+L70Ekxm\nEaJohratBnrdRQg+WqSkhyM1MRnRYXzo2tUCVT7ISA5FRlIo2jTRqGrUoKqxA+2N+yG2+KHNNw67\nNXp8eqgKGUmhuGNSPKZmRMFH4d7DvIhsxQbCw1kmCgPA1IwoXmm/bPq4GBw71zOx/FBJIxsIInJr\n2s5ufHuyHl8W1fTebTB0atDRUgojWhAbr8LkqTGIjwyAj4JDcK5LAEKDlAgNUmJ8ajgutel7mom6\nOjQ1VkAwB0PfMRqlVW0IKFTglglxmDmZdyXIe7CB8HAcvjS4nNER8FXIYDCacaSkEY/cOYbjWonI\nrYiiiIq6Duw9Vo1DZxrRbTRDFM3oaLmIzs6LUAZ0YfzkWKTGZyJA5SN1uG5LJrsyZyI7PQJVjRpU\n1KnR3FCEjho5fBUx+FSrR+GRKoxPCcPsaUnITovgBTvyaHY1EG1tbfjrX/+KvXv3orm5GSkpKVi0\naBF++MMf2nRsY2MjgoKCMH36dDz33HNIT0+3JxwagkbfjROXn/8QEsjhS335+SqQMzoSh0saodF3\no+RCKyakRUgdFpFbY21wDqPJjIOnG/DZ4SpU1Kl7thn0aG8+A6OpGXGj/JGRloC4CH9+iXUwXx85\n0hNCkB4fgmZ1FCrrO1BV14ymxj0QzKH4XjsGpypbERXqh9lTEnFrdhyC+WwJ8kA2NxB6vR5Lly7F\nuXPnsHDhQqSmpmL37t1YvXo1mpubsXz58iGPNRgMeOyxx1BRUYGHHnoIEyZMQHV1NbZs2YJ9+/Zh\n69atGDt27LASoisOn2mAydyz+tLNWbEsJFeZPi669w7NgVMNbCCIhoG1YeRp9d3Yc+wc8r8uQ0tH\nF0RRhL6jERr1OSj8dMicGIu0xEwE+fNuw4gTgIgQP0SE+GFiWgQuNnSgvLYdLQ1H0N6qhLopEY2t\nOmzfV4EZ2XH4Ye4YBCk5T4I8h80NRF5eHs6cOYPXX38dc+bMAQAsWLAAy5Ytw4YNGzB//nzExMQM\neuzmzZtx7tw5rF27Fg899FDv9nvvvRcLFizAunXr8I9//MPOVOhq356q7/35pvGDnxNvlp0eAX+l\nArouI74/24iFXWOhUnJUH5E9WBtGTkOLDoVHqrD/ZD26uk0wm03oaC5HZ9dFhMcoMCMnDonRQZDL\neZFICr4+MoxODEF6QggaWiJRXqdGXd1FNNaUw0cehULdOOz5vhpZKeG4c1oistMjIOPkdXJzNn9b\n2rlzJ6KionoLhMWyZcuwf/9+fPzxx3jiiScGPXb//v1QKpV48MEH+23PysrC6NGjceTIEVvDoSE0\ntupQVtNzazsxKgDJMUESR+R6fBRyTM+KwZfHamDoNuNIaSNuy46XOiwit8Ta4FiiKKLkYhsKD1fh\n+PkmiLgyTMlkbsKo9FBkpKUjMsQP4HdRlyAIQGyEP2Ij/NGRFoGKOjUu1LShuelLCKZgHNVm4nRl\nC2LCVLhzWhJmTIyFny8vWpF7sumTq9FoUF5ejtmzZw/Yl52dDQA4ceLEkMevX78ezc3Ngy4bN9R2\nss83J+t6f755fKyEkbi2GRNi8eWxGgDAtyfr2UAQ2YG1wXEs8xsKD1fhYqMGANCpaUFHeylkvh0Y\nPzkBaQlZ8OfdUpcW5O+D7PQIjBsV1jPpulaNS3WHoW7zg6Y1BfUtOnz0dTnuyIlH7tQERIaopA6Z\nyCY2/QVqaGiAKIqIjR34hTQwMBABAQGorq4e8vjIyEhERkYO2L5jxw5cunQJs2bNsiUcGoLJbMY3\nJ3oaCJkg4OYJbCCGkhYfjNhwf9S36FBa1YbGVh2iw/ylDovIrbA2DF+HzoAvj9Vgz9EatGsNEEUR\n2tYqaHUVCAw1YtpNCUiLT0FwkB/0nQaYL89vI9fmo+gZ3jQ+PRIXaiNwvrodtbXn0VhJU9l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Hgd5kY73tmah+WzhyMhlkUEkbdYMe9+1NQ0wG533n1lIuowtUqJtIHhyBgSiZAQfxSercJPRVXI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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e41d0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show standard deviations\n",
    "xs = np.linspace(-3, 3, 200)\n",
    "\n",
    "mu_list = [0, 1, -1, -1]\n",
    "sigma_list = [0.3, 0.3, 0.15, 1.4]\n",
    "plt.figure(figsize=(8,5))\n",
    "subplot_num = 1\n",
    "\n",
    "for mu, sigma in zip(mu_list, sigma_list):\n",
    "    plt.subplot(2, 2, subplot_num)\n",
    "    ys = [gaussian(x, mu, sigma) for x in xs]\n",
    "    plt.plot(xs, ys, lw=2)\n",
    "    plt.plot([mu, mu],[0,gaussian(mu, mu, sigma)], color='#E84F69', lw=2, zorder=10)\n",
    "    plt.plot([mu-sigma,mu-sigma],[0,gaussian(mu-sigma, mu, sigma)], lw=2, color='#386F40')\n",
    "    plt.plot([mu+sigma,mu+sigma],[0,gaussian(mu+sigma, mu, sigma)], lw=2, color='#386F40')\n",
    "    fill_xs = np.linspace(mu-sigma, mu+sigma, 50)\n",
    "    fill_ys = [gaussian(x, mu, sigma) for x in fill_xs]\n",
    "    ax = plt.gca()\n",
    "    ax.fill_between(fill_xs, 0, fill_ys, facecolor='#386F40', alpha=0.5, zorder=20)\n",
    "    plt.ylim(-0.1, 1.1)\n",
    "    plt.title('ABCD'[subplot_num-1])\n",
    "    subplot_num += 1\n",
    "\n",
    "plt.tight_layout()\n",
    "file_helper.save_figure('gaussians-with-stddevs')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ixuvbq9Xr9aupertyZnq4bjRKWCwWBewn9c6ewzzrHsA5UUgBRIXKum7tONQo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\niGTFhJSIiIiIZMWElIiIiIhk9f+d/a1RlwaHrgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120d4e780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show 1, 2, and 3 standard deviations\n",
    "xs = np.linspace(-3, 3, 200)\n",
    "\n",
    "mu = 0\n",
    "sigma = 0.5\n",
    "ys = [gaussian(x, mu, sigma) for x in xs]\n",
    "fig = plt.figure()\n",
    "ax = plt.gca()\n",
    "\n",
    "plt.plot(xs, ys, lw=2)\n",
    "plt.plot([mu, mu],[0,gaussian(mu, mu, sigma)], lw=2, color='#E84F69', zorder=20)\n",
    "\n",
    "for steps in [1, 2, 3]:\n",
    "    sigma_n = steps * sigma\n",
    "    plt.plot([mu-sigma_n,mu-sigma_n],[0,gaussian(mu-sigma_n, mu, sigma)], lw=2, color='#222222', zorder=20)\n",
    "    plt.plot([mu+sigma_n,mu+sigma_n],[0,gaussian(mu+sigma_n, mu, sigma)], lw=2, color='#222222', zorder=20)\n",
    "    fill_xs = np.linspace(mu-sigma_n, mu+sigma_n, 50)\n",
    "    fill_ys = [gaussian(x, mu, sigma) for x in fill_xs]\n",
    "    ax.fill_between(fill_xs, 0, fill_ys, facecolor='#386F40', alpha=0.5, zorder=10)\n",
    "\n",
    "# On my system thsese sigma characters come out ugly, so replace them in Illustrator\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.xticks([-3*sigma,-2*sigma,-sigma,0,sigma,2*sigma,3*sigma],\n",
    "           ['3 $\\sigma$','2 $\\sigma$', '$\\sigma$', 0, '$\\sigma$', '2 $\\sigma$', '3 $\\sigma$'])\n",
    "\n",
    "file_helper.save_figure('gaussian-multi-stddevs')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Fxem1117TM888I+nucoqxY8eqX79+euGFF9S5c2f5+vpq7969WrFihfz8/ByhFhkvVwXV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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120ce4b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Bernoulli distribution\n",
    "\n",
    "fig = plt.figure(figsize=(7,4))\n",
    "plt.subplot(1, 2, 1)\n",
    "barlist = plt.bar([0,1],[.5,.5], align='center')\n",
    "barlist[0].set_color('#ae844d')\n",
    "plt.xticks([0,1],['Heads','Tails'])\n",
    "plt.yticks([0,.5,1],[0,.5,1])\n",
    "plt.ylim(0, 1)\n",
    "plt.xlabel('Outcome')\n",
    "plt.ylabel('Probability')\n",
    "plt.title('A Fair Coin')\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "barlist = plt.bar([0,1],[.3,.7], align='center')\n",
    "barlist[0].set_color('#ae844d')\n",
    "plt.xticks([0,1],['Heads','Tails'])\n",
    "plt.yticks([0,.5,1],[0,.5,1])\n",
    "plt.ylim(0, 1)\n",
    "plt.xlabel('Outcome')\n",
    "plt.ylabel('Probability')\n",
    "plt.title('An Unfair Coin')\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "file_helper.save_figure('bernoulli')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PKzY2Vk8//bQqVaqk1157TWazWZ999pnCw8O1evXqdCtU3CltGsPJkydVu3btdG3Hjx+X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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120d63710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QiFOnTgkhhIiMjBSOjo7iiy++UFvPL7/8IsVZ9rOVXpcQQmRlZQlnZ2cxc+bMcttj7ty5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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f494b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show the histograms for bootstrapping discussion\n",
    "\n",
    "def get_population(num_elements, low, high):\n",
    "    population = []\n",
    "    for i in range(num_elements):\n",
    "        element = int(np.random.uniform(low, high))\n",
    "        population.append(element)\n",
    "    return population\n",
    "\n",
    "def get_sample_set(population, num_elements):\n",
    "    sample_set = np.random.choice(a=population, size=num_elements, replace=False)\n",
    "    return sample_set\n",
    "\n",
    "def get_bootstrap(sample_set, num_elements):\n",
    "    bootstrap = np.random.choice(a=sample_set, size=num_elements, replace=True)\n",
    "    return bootstrap\n",
    "\n",
    "def do_bootstraps(population_size, population_range, sample_set_size, bootstrap_size, num_boostraps):\n",
    "    np.random.seed(42)\n",
    "    population = get_population(population_size, 0, population_range)\n",
    "    sample_set = get_sample_set(population, sample_set_size)\n",
    "    bootstrap_list = []\n",
    "    for i in range(num_boostraps):\n",
    "        bootstrap = get_bootstrap(sample_set, bootstrap_size)\n",
    "        bootstrap_list.append(bootstrap)\n",
    "    population_mean = np.mean(population)\n",
    "    sample_set_mean = np.mean(sample_set)\n",
    "    bootstrap_means = [np.mean(bootstrap) for bootstrap in bootstrap_list]\n",
    "    \n",
    "    n, bins, hpatches = plt.hist(bootstrap_means, 50, color='#FFC07A')\n",
    "    plt.plot([sample_set_mean, sample_set_mean], [0, max(n)], color='#00638C', lw=4)\n",
    "    plt.plot([population_mean, population_mean], [0, max(n)], color='#BD3A50', lw=4)\n",
    "    plt.title('Histogram of Bootstrap Means')\n",
    "    plt.xlabel('Mean value of bootstrap')\n",
    "    plt.ylabel('Number of bootstraps')\n",
    "    file_helper.save_figure('bootstrap-histogram')\n",
    "    plt.show()\n",
    "    \n",
    "    n, bins, hpatches = plt.hist(bootstrap_means, 50, color='#FFC07A')\n",
    "    plt.plot([sample_set_mean, sample_set_mean], [0, max(n)], color='#00638C', lw=4)\n",
    "    plt.plot([population_mean, population_mean], [0, max(n)], color='#BD3A50', lw=4)\n",
    "    confidence = 0.8\n",
    "    gap = (1-confidence)/2\n",
    "    sorted_bootstrap_means = sorted(bootstrap_means)\n",
    "    low_index = int(gap * len(sorted_bootstrap_means))\n",
    "    high_index = int((1-gap) * len(sorted_bootstrap_means))\n",
    "    low_value = sorted_bootstrap_means[low_index]\n",
    "    high_value = sorted_bootstrap_means[high_index]\n",
    "    rect_left = low_value\n",
    "    rect_bottom = 0\n",
    "    rect_width = high_value-low_value\n",
    "    rect_height = max(n)\n",
    "    currentAxis = plt.gca()\n",
    "    conf_rect = patches.Rectangle((rect_left, rect_bottom), \n",
    "                             rect_width, rect_height, facecolor=\"yellow\", \n",
    "                             alpha=0.25, lw=2)\n",
    "    currentAxis.add_patch(conf_rect)\n",
    "    plt.title('Histogram of Bootstrap Means with Confidence of '+str(int(100*confidence))+'%')\n",
    "    plt.xlabel('Mean value of bootstrap')\n",
    "    plt.ylabel('Number of bootstraps')\n",
    "    file_helper.save_figure('bootstrap-histogram-confidence')\n",
    "    plt.show()\n",
    "    \n",
    "do_bootstraps(population_size=5000, population_range=1000, \n",
    "              sample_set_size=500, bootstrap_size=20, num_boostraps=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
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